Moran says that Kurt Miller was former special forces, that he used to be in the Army's 12th Infantry. However the US Army's 12th Infantry Regiment is not a special operations unit.
Nicole is shot, point-blank, through the back of her head with a medium-to-large caliber handgun. For obvious reasons of gore-reduction, as viewed in the body bag, her face is still absolutely unblemished. It should still be noted that in real life, a head shot such as that would have left an exit wound of up to 10cm, or roughly the size of an American softball.
When Nicole is running away from the gunman and screaming for help there is an NYPD vehicle sitting at the intersection in front of her, yet she runs away from it. Plus the officers in the vehicle don't respond to her screams.